Results 31 to 40 of about 113 (107)

On the existence of a non‐zero lower bound for the number ofGoldbach partitions of an even integer [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
The Goldbach partitions of an even number, given by the sums of two prime addends, form the nonempty set for all integers 2n with 2 ≤ n ≤ 2 × 1014. It will be shown how to determine by the method of induction the existence of a non‐zero lower bound for the number of Goldbach partitions of all even integers greater than or equal to 4.
openaire   +3 more sources

Editorial: Immunomodulatory Roles of Extracellular Vesicles in Autoimmune Diseases. [PDF]

Front Immunol, 2022
Gu Z, Kuo WP.
europepmc   +1 more source

Immunopathological signatures in multisystem inflammatory syndrome in children and pediatric COVID-19. [PDF]

Nat Med, 2022
Sacco K, Castagnoli R, Vakkilainen S, Liu C, Delmonte OM, Oguz C, Kaplan IM, Alehashemi S, Burbelo PD, Bhuyan F, de Jesus AA, Dobbs K, Rosen LB, Cheng A, Shaw E, Vakkilainen MS, Pala F, Lack J, Zhang Y, Fink DL, Oikonomou V, Snow AL, Dalgard CL, Chen J, Sellers BA, Montealegre Sanchez GA, Barron K, Rey-Jurado E, Vial C, Poli MC, Licari A, Montagna D, Marseglia GL, Licciardi F, Ramenghi U, Discepolo V, Lo Vecchio A, Guarino A, Eisenstein EM, Imberti L, Sottini A, Biondi A, Mató S, Gerstbacher D, Truong M, Stack MA, Magliocco M, Bosticardo M, Kawai T, Danielson JJ, Hulett T, Askenazi M, Hu S, NIAID Immune Response to COVID Group, Chile MIS-C Group, Pavia Pediatric COVID-19 Group, Cohen JI, Su HC, Kuhns DB, Lionakis MS, Snyder TM, Holland SM, Goldbach-Mansky R, Tsang JS, Notarangelo LD.   +64 more
europepmc   +1 more source

Predicting the size ranking of minimal primes in the generalised Goldbach partitions

A scarcely known generalization of Goldbach's conjecture introduced by Hardy and Littlewood states that for every pair of (relatively prime) positive integers m1 and m2, every sufficiently large integer n satisfying certain simple congruence criteria can be $(m_1,m_2)$-partitioned as $n = m_1p+m_2q$ for some primes $p$ and $q$.
Juhász, Zsófia, Bartalos, Máté
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The Number of Different Effective Partitions and a Specific Goldbach Partition of Any Given Even Number Greater Than 6

, 2007
A specific Goldbach partition of any given even number greater than 6 can be found definitely.
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The Prime Sequence: Demonstrably Highly Organized While Also Opaque and Incomputable—With Remarks on Riemann’s Hypothesis, Partition, Goldbach’s Conjecture, Euclid on Primes, Euclid’s Fifth Postulate, Wilson’s Theorem along with Lagrange’s Proof of It and Pascal’s Triangle, and Rational Human Intelligence

Advances in Pure Mathematics, 2014
The main design of this paper is to determine once and for all the true nature and status of the sequence of the prime numbers, or primes—that is, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and so on. The main conclusion revolves entirely around two points.
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A Detailed Proof of the Strong Goldbach Conjecture Based on Partitions of a New Formulation of a Set of Even Numbers

Asian Research Journal of Mathematics
The Strong Goldbach's conjecture, a fundamental problem in Number Theory, asserts that every even integer greater than 2 can be expressed as the sum of two prime numbers. Despite significant efforts over centuries, this conjecture remains unproven, challenging the core of mathematics.
Daniel Sankei, Loyford Njagi, Josephine Mutembei   +2 more
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An acytokinetic cell division creates PIP2-enriched membrane asymmetries leading to slit diaphragm assembly in Drosophila nephrocytes.

Development, 2023
Carrasco-Rando M, Culi J, Campuzano S, Ruiz-Gómez M.   +3 more
europepmc   +1 more source

Glycosylinositol phosphorylceramides from Rosa cell cultures are boron-bridged in the plasma membrane and form complexes with rhamnogalacturonan II. [PDF]

Plant J, 2014
Voxeur A, Fry SC.
europepmc   +1 more source

pH-dependent permeation of amino acids through isolated ivy cuticles is affected by cuticular water sorption and hydration shell size of the solute. [PDF]

J Exp Bot, 2010
Arand K, Stock D, Burghardt M, Riederer M.   +3 more
europepmc   +1 more source